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Some insight into the convergence of the multiple scattering series expansion

Didier Sébilleau1 and Calogero R Natoli2

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[1]
Although it was not named, the first mathematical definition of what we call now the scattering path operator seems to have been given by Faddeev L D in Faddeev L D 1965 Mathematical Aspects of the Three-body Problem in the Quantum Scattering Theory (Israel Program for Scientific Translation: Jerusalem)

[2]
Györffy B L and Stott M J 1973 Band Structure Spectroscopy of Metals and Alloys ed D J Fabian and L M Watson (Academic Press: London) p 385-403

[3]
Sébilleau D, Gunnella R, Wu Z-Y, Di Matteo S and Natoli C R 2006 J. Phys.: Condens. Matter 18 R175-R230
IOPscience 
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Osterwalder J, Greber T, Aebi P, Fasel R and Schlapbach L 1996 Phys. Rev. B 53 10209
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Natoli C R and Benfatto M 1986 J. Physique C 8 11

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Gerschgorin S 1931 Izv. Akad. Nauk SSSR Ser. Mater. 7 749

 
Salas H N 1999 Linear Algebra Appl. 291 15
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Zhang X-D and Li J-S 2002 Acta Mathematica Sinica English Ser. 18 293

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Kittaneh F 2005 Proc. Am. Math. Soc. 134 385
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Czornik A and Jurgaś P 2006 Int. J. Appl. Math. Comput. Sci. 16 183

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